G(x) can be obtained from F(x) by shifting F(x) 4 units to the right and 1 unit upwards.
Shift towards right can be obtained by subtracting 4 from the x in the function and the upward shift can be obtained by adding 1 to the function.
So,
G(x) = F(x-4) + 1
Thus,
G(x) = (x-4)² + 1
So, the correct answer to this question is option B
You can't simplify this problem any further because there are no more like terms
We need to solve (X+7)2 - 10 = 26 where X is the original number that Hector thought of.
Here’s how to solve it:
(X+7)2 - 10 = 26
(X+7)2 = 36
(X+7) = 18
X = 11
Therefore Hector was thinking of the number 11
We are given linear equation y=−0.7x−28.
We need to find the coordinates of its intersection with the x- and y-axes.
<em>Note: The coordinate at which line intersect x-axis is called x-intercept and The coordinate at which line intersect y-axis is called y-intercept.</em>
In order to find y-intercept, we need to plug x=0 and solve for y.
Plugging x=0
y= −0.7(0)−28 = 0-28 = -28.
<h3>Therefore, the coordinate where line intersect y-axis is (0,-28).</h3>
In order to find x-intercept, we need to plug y=0 and solve for x.
Plugging y=0
0 = −0.7x−28
Adding 28 on both sides, we get
0+28 = −0.7x−28+28
28 = -0.7x
Dividing both sides by -0.7, we get
x=40.
<h3>Therefore, the coordinate where line intersect x-axis is (40,0).</h3>